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Public evidence

physics.fluid.concentric_reducer

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

CVP status

CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance · h = K v₂² / (2g) with K = 0.5 (1 − A₂/A₁); plus pressure and velocity solves; + O3 mpmath tabulated head.

Not C_c. O3 tabulated vectors only.

Declared partition coverage
PASS · 5/5 declared partitions (head, solve, alias, awkward, invalid-domain)
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-26.o2-o3
Verification revision
2026-09-26.o2-o3 · 1/1 property · digest 7983105f1554

Verification

Legacy regression suite: 6/6 calculation tests · Production surface contract 5/5

Three distinct suites: educational examples on the calculator page, this legacy regression count (6/6 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

    This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-26.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 1/1 CVP boundary · 2/2 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 5/5 CVP contract. digest 7983105f1554. O2: concentric reducer K=0.5(1−A2/A1) vs a separate-module identity (≤2 ULP). Not C_c, not α, not (v1−v2)², not catalog K, not gradual contraction, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated concentric-reducer vectors. Not catalog K, not pipe-entrance geometry, not sudden expansion (v1−v2)², not Darcy, and not Q=Av.

  • Golden (oracle-backed) 4 / 4
  • CVP boundary 1 / 1
  • Invalid input 2 / 2
  • Property 1 / 1
  • Metamorphic 1 / 1
  • O3 high-precision 8 / 8
  • Cross-interface 2 / 2
  • CVP contract 5 / 5
  • Interfaces PASS · UI (SSR) / REST / MCP
  • Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
  • Verified scope h = K v₂² / (2g) with K = 0.5 (1 − A₂/A₁); plus pressure and velocity solves; + O3 mpmath tabulated head.
  • Assurance Engineering
  • Deferred Not C_c, not α, not (v1−v2)² sudden contraction, not catalog K, not gradual contraction, and not Q=Av.
  • release artifacts aligned PASS
  • schema output required declared PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS
  • rest success payload validates schema PASS

Fingerprint sha256:627c335e0c8d2bccc5815f159d8197918e3d95056ce4d03b304a8b33d7722b47

Input schema sha256:4de7933ae44ef93289fdd4a502783dd2a4e17dead2f8209d7f01dd2a36de2435 · Output schema sha256:658188bba055812aea650f2c22cc7fe94e8ab6189a8b1f07f1e1b952e4f4e79a · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
concentric-reducer
Engine
concentric-reducer
Engine build
2026-09-24
Evidence core
2026-09-24T02:12:38.088Z
Rendered
2026-11-10T05:18:41.964Z
Last reviewed
—

Assumptions

  • Concentric reducer: h = K v₂² / (2g); K = 0.5 (1 − A₂/A₁); K referenced to downstream speed; K is reported, not an input
  • A₂/A₁ in (0, 1); default g=9.80665 m/s²; default ρ=1000 kg/m³; incompressible; geometry from area_ratio or A1+A2 or D1+D2
  • Not sudden expansion (v1−v2)², not gradual contraction α, not vena-contracta C_c, not catalog minor-loss K given, not a four-way cross, not Q=Av

Limitations

  • Concentric reducer: h = K v₂² / (2g); K = 0.5 (1 − A₂/A₁); K referenced to downstream speed; K is reported, not an input
  • A₂/A₁ in (0, 1); default g=9.80665; default ρ=1000 for Δp; incompressible; geometry from area_ratio or A1+A2 or D1+D2
  • Not sudden expansion (v1−v2)², not gradual contraction α, not vena-contracta C_c, not catalog minor-loss K given, not a four-way cross, not Q=Av

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.